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Finding the Fourth Proportional to 1,038.68, 1,558.23 and 422.38

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Solution

The fourth proportional to 1,038.68, 1,558.23 and 422.38 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.68 : 1,558.23 = 422.38 : x
  2. Step 2: Convert to fraction form
    1,038.68/1,558.23 = 422.38/x
  3. Step 3: Cross multiply
    1,038.68x = 1,558.23 × 422.38
  4. Step 4: Simplify right side
    1,038.68x = 658,163.08
  5. Step 5: Solve for x
    x = 658,163.08/1,038.68
  6. Step 6: Final answer
    x = 633.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.